Evaluate.
$\int x^{\frac{2}{3}} d x$

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So, the integral of $x^{\frac{2}{3}}$ with respect to x is $\frac{3 x^{\frac{5}{3}}}{5} + C$

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Step 1 ：Given the integral $\int x^{\frac{2}{3}} d x$

Step 2 ：We can use the power rule for integration, which states that $\int x^{n} d x = \frac{x^{n + 1}}{n + 1} + C$ , where C is the constant of integration

Step 3 ：Here, n = 2/3. So, adding 1 to n gives us 2/3 + 1 = 5/3

Step 4 ：Substituting these values into the power rule gives us $\int x^{\frac{2}{3}} d x = \frac{x^{\frac{5}{3}}}{\frac{5}{3}} + C$

Step 5 ：To simplify the fraction, we can multiply the numerator and the denominator by 3 to get rid of the fraction in the denominator, which gives us $\frac{3 x^{\frac{5}{3}}}{5} + C$

Step 6 ：So, the integral of $x^{\frac{2}{3}}$ with respect to x is $\frac{3 x^{\frac{5}{3}}}{5} + C$

Evaluate.∫x23dx

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Evaluate.
$\int x^{\frac{2}{3}} d x$